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Finding the Fourth Proportional to 10,892.01, 15,030.39 and 6,414.74

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Solution

The fourth proportional to 10,892.01, 15,030.39 and 6,414.74 is: 8,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.01 : 15,030.39 = 6,414.74 : x
  2. Step 2: Convert to fraction form
    10,892.01/15,030.39 = 6,414.74/x
  3. Step 3: Cross multiply
    10,892.01x = 15,030.39 × 6,414.74
  4. Step 4: Simplify right side
    10,892.01x = 96,416,043.95
  5. Step 5: Solve for x
    x = 96,416,043.95/10,892.01
  6. Step 6: Final answer
    x = 8,852.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.